Eleven years ago Tina was half as old as Ike will be in four years. If Ike is $$m$$ years old now, how old is Tina now in terms of $$m$$?

Correct.
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Checking this answer gives
>$$\frac{m}{2} + 13 = \frac{10}{2}+13 = 5 + 13 = 18$$
This matches your **goal value** of 18, and none of the other answer choices do. So that means this is the correct answer.

Incorrect.
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If you check this answer choice, you get
>$$4m - 11 = 4(10)-11 = 40-11 = 29$$
This doesn't match your **goal value** of 18, so eliminate this answer.

Incorrect.
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You should not do any math here. It should be clear that this doesn't match your **goal value** of 18, so eliminate this answer.

Incorrect.
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If you check this answer choice, you get
>$$4m+11 = 4(10)+11 = 40+11 = 51$$
as the numerator. Dividing this by 2 will not give an integer, so this doesn't match your **goal value** of 18. Eliminate this answer.

Incorrect.
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If you check this answer choice, you get
>$$2m-7 = 2(10)-7 = 20-7 = 13$$
This doesn't match your **goal value** of 18, so eliminate this answer.

$$4m - 11$$

$$\frac{m}{2} + 13$$

$$\frac{1}{2m - 22}$$

$$\frac{4m +11}{2}$$

$$2m-7$$